So we get $\frac{2\sec x+1}{\sec x}\\\\=\frac{2\sec x}{\sec x}+\frac{1}{\sec x}\\\\= 2+\cos x\\\\\text{since the left hand side and right hand side expression are same, so}\\\text{it verifies the identity.}$

$\text{Left hand side}=\frac{\cos^2x+4\cos x+4}{\cos x+2}\\\\\text{Here observe that the numerator is a perfect square using }\\a^2+2ab+b^2=(a+b)^2\\\text{so we get}\\\\=\frac{(\cos x+2)^2}{\cos x+2}\\\\\text{now we can cancel out one factor (cos x+2) from numerator and denominator.}\\\text{so we get}\\\\=\cos x+2\\\\\text{And similarly the right hand side gives}$

7 0

2 years ago

Factor the following polynomial: 11x^2 + 22x

emmainna [20.7K]

11x(x+2) should be the answer

5 0

2 years ago

An oak tree is 60cm tall. It grows at a rate of 8% per year. A conifer is 50cm tall. It grows at a rate of 15% per year. How man

juin [17]

I mite be incerect but i think it would be 2.7

5 0

2 years ago

Read 2 more answers